Let x = # of Republicans
x + 4 = # of Democrats
x + x + 4 = 100
x = 48 
48 + 4 = 52
There are 52 Democrats and 48 Republicans. 
 
        
             
        
        
        
Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side 
tan (17.31) = 200 / a 
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a 
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet
        
             
        
        
        
Answer:
YES
Step-by-step explanation:
So how you can figure this out is you do the Distributive Property. 
So it will be 12x^3+12y^2+6y^2+6.
The next thing you have to do is add together the ones that are similar which is 12y^2+6y^2 to get 18y^2. 
Your answer is 12x^3+18y^2+6. So YES it can be factored into that form. 
 
        
                    
             
        
        
        
Answer:
<u>Option 2</u>
(2,8), because the graph of the two equations intersects at this point
Step-by-step explanation:
Just looking at the graph, you can tell that the point (2,8) is where the two lines intersect.
Hope this helped! :)
 
        
             
        
        
        
Answer:
0.125
Step-by-step explanation:
(5 divided by 8) - ((1 divided by 4) x 2) = 0.125